#question

46 messages · Page 1 of 1 (latest)

hallow quarry
#

ax + by = 1
bx + cy = 1
cx + ay = 1
Proof:
ab + bc + ca = a^2 + b^2 + c^2

primal fableBOT
#
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hallow quarry
warm silo
#

multiply maybe?

hallow quarry
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multiply what sir

warm silo
#

equations

hallow quarry
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Which

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(ax+by)(bx+xy)?

warm silo
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all

hallow quarry
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Why thou

hallow quarry
#

?

warm silo
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try eq1eq2, eq2eq3 and so on

solid crescent
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How do you even know whats right?

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We dont know the asnwer

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U just gonna have to roll the dice on this one pal

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You might win

hallow quarry
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no I mean like

hallow quarry
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what is multiply all equation

#

ax + by = 1
bx + cy = 1
cx + ay = 1
Proof:
ab + bc + ca = a^2 + b^2 + c^2

warm silo
#

multiply eqn two at a time or 3 at a time

hallow quarry
#

so like
(ax+by)(bx+cy)

warm silo
#

ya

hallow quarry
#

And with diff combination until I get ab + bc + ca = a^2……

warm silo
#

you try

hallow quarry
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Wait

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I technically can’t

warm silo
#

why

hallow quarry
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And = 1

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If I swap side after I simplify them

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It’s gonna be negative

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And division

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So even if I found the combination , it will be …
ab + bc + ca = a^2 - b^2 + c^2

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or ab + bc + ca = 1/a^2…….

earnest geode
#

[
x = \frac{1 - by}{a}
]

[
b\left(\frac{1 - by}{a}\right) + cy = 1
]

[
b(1 - by) + acy = a
]

[
b - b^2y + acy = a
]
[
(b^2 - ac)y = b - a
]

[
y = \frac{b - a}{b^2 - ac}
]

pure bridgeBOT
#

asura Ψ

earnest geode
#

That's a start I believe.

hallow quarry
#

And let me try sub it into an equation

turbid mantle
#

ax+by=bx+cy=cx+ay
ax+by=bx+cy and bx+cy=cx+ay
ax-bx=cy-by and bx-cx=ay-cy
(a-b)x=(c-b)y and (b-c)x=(a-c)y
x/y=(c-b)/(a-b) and y/x=(b-c)/(a-c)
x=c-b and y=a-b
x=a-c and y=b-c
c-b=a-c implies 2c=a+b
a-b=b-c implies 2b=a+c
2c-2b=a-a+b-c
2c-2b=b-c
2c+c=b+2b
3c=3b
c=b